I can't understand this drill on a "[Noun1] より [Noun2] のほうが [Adjective]" comparison

here is a screenshot of the drill:the screenshot is from the quiz, but the drill is from this lesson:https://www.nihongomaster.com/lesson/view/186/which-witch-is-which

so the drill is to fill in the blank:I like milk better than juice.ぎゅうにゅう＿、ジュースのほうがすきです

but the lesson taught this comparison as [Noun1] のほうが [Noun2] より [Adjective], not [Noun1] より [Noun2] のほうが [Adjective]. Still, from the lesson it seems the より comes after the "lesser" noun, so I figured since milk is the "greater" noun that can't be it and went for は. But the quiz says it's actually より? Am I not understanding how this comparison works, or maybe is the drill incorrect?